What is the answer to 1/5 = 1/(2sqrt(c)) ?

The answer to 1/5 = 1/(2sqrt(c)) is c= 25/4

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1/5 = 1/(2sqrt(c))

\frac{1}{5} = \frac{1}{2 c}

c = \frac{25}{4}

Decimal Notation

c = 6.25

Solution steps

\frac{1}{5} = \frac{1}{2 c}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot 2 c = 5 \cdot 1

Expand

1 \cdot 2 c : 2 c

2 c = 5 \cdot 1

Multiply the numbers:

5 \cdot 1 = 5

2 c = 5

Divide both sides by

2

c = \frac{5}{2}

Square both sides:

c = \frac{25}{4}

c = \frac{25}{4}

Verify Solutions:

c = \frac{25}{4}

True

The solution is

c = \frac{25}{4}

k = 4 + 48 - 4 k

4 x - 8 = 2

What is the answer to 1/5 = 1/(2sqrt(c)) ?
The answer to 1/5 = 1/(2sqrt(c)) is c= 25/4
Solve for c: 1/5 = 1/(2sqrt(c))
The solution is c= 25/4